Webwork Differential Equations with Linear Algebra: Performance

This is a video in my Differential Equations with Linear Algebra series. In this video, I work through a separable differential equation pertaining to worker performance.
The question states:
Let P(t) be the performance level of someone learning a skill as a function of training time t. The derivative dP/dt represents the rate at which performance improves. If M is the maximum level of performance of which the learner is capable, then a model of learning is given by the differential equation: dP/dt=k(M-P(t)) where k is a positive constant. Two new workers, Mark and David, were hired for an assembly line. David could process 11 units per minute after one hour and 13 units per minute after two hours. Mark could process 10 units per minute after one hour and 16 units per minute after two hours. Using the above model and assuming P(0)=0, estimate the maximum number of units per minutes that each worker is capable of processing.

Hope the video helps.
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